To find the final velocity and displacement of the body, we can use the equations of motion for uniformly accelerated motion.
- Final velocity (v):
The initial velocity (u) is 0 m/s (starting from rest), the acceleration (a) is 3 m/s^2, and the time (t) is 4 seconds.
The equation for calculating the final velocity is:
v = u + at
v = 0 + (3 m/s^2) * (4 s) v = 12 m/s
Therefore, the final velocity of the body is 12 m/s.
- Displacement (s):
The displacement can be calculated using the equation:
s = ut + (1/2) * a * t^2
Since the initial velocity is 0, the first term becomes 0. We can simplify the equation to:
s = (1/2) * a * t^2
s = (1/2) * (3 m/s^2) * (4 s)^2 s = (1/2) * 3 m/s^2 * 16 s^2 s = 24 m
Therefore, the displacement of the body is 24 meters.
To summarize:
- The final velocity of the body is 12 m/s.
- The displacement of the body is 24 meters.